The average height of a basketball team consisting of 18 players is 185 cm. If the height of the coach and the assistant coach is included, the average height of the team increases to 186.5 cm. Find the average height of the coach and the assistant coach.
ATQ,
Sum of height of the players = 185 × 18 = 3330 cm Sum of height of the players and coaches = 186.5 × 20 = 3730 cm So, the sum of height of the coaches = 3730 - 3330 = 400 cm So, the required average = (400/2) = 200 cm Alternate Solution: Change in the average = 186.5 - 185 = 1.5 cm Because of the addition of 2 coaches, the height of 20 members (18 players + 2 coaches) is considered. So, the additional height added to the players' total height = 1.5 × 20 = 30 cm So, the sum of the heights of the two coaches = 2 × 185 + 30 = 370 + 30 = 400 cm So, the required average = (400/2) = 200 cm
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